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Mathematical Structures of Polynomials in Jeong Yag-yong's Gugo Wonlyu  

Hong, Sung Sa (Dept. of Math., Sogang Univ.)
Hong, Young Hee (Dept. of Math., Sookmyung Women's Univ.)
Lee, Seung On (Dept. of Math., Chungbuk National Univ.)
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Journal for History of Mathematics / v.29, no.5, 2016 , pp. 257-266 More about this Journal
This paper is a sequel to our paper [3]. Although polynomials in the tianyuanshu induce perfectly the algebraic structure of polynomials, the tianyuan(天元) is always chosen by a specific unknown in a given problem, it can't carry out the role of the indeterminate in ordinary polynomials. Further, taking the indeterminate as a variable, one can study mathematical structures of polynomials via those of polynomial functions. Thus the theory of polynomials in East Asian mathematics could not be completely materialized. In the previous paper [3], we show that Jeong Yag-yong disclosed in his Gugo Wonlyu(勾股源流) the mathematical structures of Pythagorean polynomials, namely polynomials p(a, b, c) where a, b, c are the three sides gou(勾), gu(股), xian(弦) of a right triangle, respectively. In this paper, we show that Jeong obtained his results through his recognizing Pythagorean polynomials as polynomial functions of three variables a, b, c.
Jeong Yag-yong; Gugo Wonlyu; Pythagorean polynomials; polynomial functions;
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Times Cited By KSCI : 1  (Citation Analysis)
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